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Finding the Third Proportional to 1,083.88 and 1,601.94

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Solution

The third proportional to 1,083.88 and 1,601.94 is: 2,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.88 : 1,601.94 = 1,601.94 : x
  2. Step 2: Convert to fraction form
    1,083.88/1,601.94 = 1,601.94/x
  3. Step 3: Cross multiply
    1,083.88x = 1,601.94 × 1,601.94
  4. Step 4: Simplify right side
    1,083.88x = 2,566,203.75
  5. Step 5: Solve for x
    x = 2,566,203.75/1,083.88
  6. Step 6: Final answer
    x = 2,367.62

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.